pdgLive Home   >   ${{\mathit \Delta}}$ BARYONS ($\mathit S$ = 0, $\mathit I$ = 3/2)   >   ${{\mathit \Delta}{(1620)}}$

${{\mathit \Delta}}$ BARYONS ($\mathit S$ = 0, $\mathit I$ = 3/2) ${{\mathit \Delta}^{++}}$ = ${{\mathit u}}{{\mathit u}}{{\mathit u}}$ , ${{\mathit \Delta}^{+}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$, ${{\mathit \Delta}^{0}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$, ${{\mathit \Delta}^{-}}$ = ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$

INSPIRE   JSON  (beta) PDGID: B082

${{\mathit \Delta}{(1620)}}$ $I(J^P)$ = $3/2(1/2^{-})$

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

${{\mathit \Delta}{(1620)}}$ POLE POSITION

REAL PART   $1590\text{ to }1610\text{ }(\approx1600) $ MeV

$-2{\times }$IMAGINARY PART   $80\text{ to }140\text{ }(\approx110) $ MeV

${{\mathit \Delta}{(1620)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $   $10\text{ to }20\text{ }(\approx15) $ MeV

PHASE $\theta $   $-120\text{ to }-80\text{ }(\approx-100) $ $^\circ{}$

${{\mathit \Delta}{(1620)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$

${{\mathit \Delta}{(1620)}}$ BREIT-WIGNER MASS   $1590\text{ to }1630\text{ }(\approx1610) $ MeV

${{\mathit \Delta}{(1620)}}$ BREIT-WIGNER WIDTH   $110\text{ to }150\text{ }(\approx130) $ MeV

${{\mathit \Delta}{(1620)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1620)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $0.030\text{ to }0.060\text{ }(\approx0.050) $ GeV${}^{−1/2}$

Decay Modes
The following branching fractions are our estimates, not fits or averages.
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $25 - 35\%$ 520   $\Gamma_{2}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $>67\%$ 484   $\Gamma_{3}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   44$-72\%$ 311   $\Gamma_{4}$ ${{\mathit N}}{{\mathit \rho}}$   $23 - 32\%$ -1   $\Gamma_{5}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2, ${\mathit S}{\mathrm -wave}$   $23 - 32\%$ -1   $\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$   $<0.04\%$ -1   $\Gamma_{7}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$   $<9\%$ 98   $\Gamma_{8}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2   $0.03 - 0.10\%$ 532
FOOTNOTES